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AP EAMCET2002MathematicsDifferentiation

If f(x)= a x + a^2 a x , then f^ (a) is equal to

Options

  1. A0
  2. B-1
  3. C1
  4. Da

Correct answer

A. 0

Step-by-step solution

We have, f(x)= a x + a^2 a x On differentiating w.r.t. x , we get, aligned & f^ (x)= a 1 2 x + a^2 a (- 1 2 x x ) & f^ (x)= a 2 1 x - a a 2 x x & f^ (a)= a 2 1 a - a a 2 a a = 1 2 - 1 2 =0 aligned

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